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242195055360 = 28351273491423
BaseRepresentation
bin1110000110001111110…
…0110100001100000000
3212011010222201120212120
43201203330310030000
512432003413232420
6303132440324240
723332551001056
oct3414374641400
9764128646776
10242195055360
1193794881885
123ab32773680
1319aba09155b
14ba180001d6
1564779ecd40
hex3863f34300

242195055360 has 288 divisors, whose sum is σ = 782384332800. Its totient is φ = 63848300544.

The previous prime is 242195055353. The next prime is 242195055367. The reversal of 242195055360 is 63550591242.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (242195055353) and next prime (242195055367).

It is not an unprimeable number, because it can be changed into a prime (242195055367) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 170199609 + ... + 170201031.

Almost surely, 2242195055360 is an apocalyptic number.

242195055360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242195055360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391192166400).

242195055360 is an abundant number, since it is smaller than the sum of its proper divisors (540189277440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

242195055360 is a wasteful number, since it uses less digits than its factorization.

242195055360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1923 (or 1909 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 42.

The spelling of 242195055360 in words is "two hundred forty-two billion, one hundred ninety-five million, fifty-five thousand, three hundred sixty".